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Finding the Fourth Proportional to 9,909.76, 14,776.04 and 9,637.60

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Solution

The fourth proportional to 9,909.76, 14,776.04 and 9,637.60 is: 14,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.76 : 14,776.04 = 9,637.60 : x
  2. Step 2: Convert to fraction form
    9,909.76/14,776.04 = 9,637.60/x
  3. Step 3: Cross multiply
    9,909.76x = 14,776.04 × 9,637.60
  4. Step 4: Simplify right side
    9,909.76x = 142,405,563.10
  5. Step 5: Solve for x
    x = 142,405,563.10/9,909.76
  6. Step 6: Final answer
    x = 14,370.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.